5
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes — Quiz

Question 5 • Algebra II

Which monomial is a perfect cube?

Answer
A
9 x cubed
B
6 x cubed
C
1 x cubed
D
3 x cubed

Explanation

A monomial is a perfect cube if its coefficient and each variable factor can be written as cubes. In choice C, 1x³ = (x)³, since 1 is a perfect cube and the exponent 3 is a multiple of 3. The coefficients 9, 6, and 3 in the other choices are not perfect cubes.

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